000			02016nam a22002297a 4500
005			20250625151302.0
008			250625b |||||||| |||| 00| 0 eng d
020			_a9780367277352
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB2811 R3 _qCSL
100			_aBrill, Percy H _eauthor. _9478840
245			_aIntroduction to Stochastic Level Crossing Techniques
260			_aBoca Raton : _bCRC Press/Taylor & Francis, _c2023.
300			_axxi, 255p. _b: ill. _c; 24 cm.
500			_aIncludes bibliography and index.
520			_aIntroduction to Stochastic Level Crossing Techniques describes stochastic models and their analysis using the System Point Level Crossing method (abbreviated SPLC or LC). This involves deriving probability density functions (pdfs) or cumulative probability distribution functions (cdfs) of key random variables, applying simple level-crossing limit theorems developed by the author. The pdfs and/or cdfs are used to specify operational characteristics about the stochastic model of interest. The chapters describe distinct stochastic models and associated key random variables in the models. For each model, a figure of a typical sample path (realization, i.e., tracing over time) of the key random variable is displayed. For each model, an analytic (Volterra) integral equation for the stationary pdf of the key random variable is created-by inspection of the sample path, using the simple LC limit theorems. This LC method bypasses a great deal of algebra, usually required by other methods of analysis. The integral equations will be solved directly, or computationally. This book is meant for students of mathematics, management science, engineering, natural sciences, and researchers who use applied probability. It will also be useful to technical workers in a range of professions.
650			_aPreliminaries. _9716049
650			_a Stochastic models. _9814569
650			_a Dams. _9814570
942			_2CC _cTEXL _hB2811 R3 _n0
999			_c1432933 _d1432933